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Finding the Fourth Proportional to 22,985.34, 31,719.90 and 12,914.21

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Solution

The fourth proportional to 22,985.34, 31,719.90 and 12,914.21 is: 17,821.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,985.34 : 31,719.90 = 12,914.21 : x
  2. Step 2: Convert to fraction form
    22,985.34/31,719.90 = 12,914.21/x
  3. Step 3: Cross multiply
    22,985.34x = 31,719.90 × 12,914.21
  4. Step 4: Simplify right side
    22,985.34x = 409,637,291.18
  5. Step 5: Solve for x
    x = 409,637,291.18/22,985.34
  6. Step 6: Final answer
    x = 17,821.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.